Which of the following organs in the urinary system produces urine after
breaking it down from food?

This is a relatively straight forward question. No need to overthink it.

What is pretty much the only organ in the Urinary system that incapable of producing urine. The answer would be the "kidneys" which are responsible for filtering nutrients and water, the body doesn't need, producing urea and pushing into the ureters down to the bladder where it is expelled.